214986720 has 192 divisors, whose sum is σ = 737662464. Its totient is φ = 52316160.

The previous prime is 214986689. The next prime is 214986721. The reversal of 214986720 is 27689412.

214986720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214986721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817309 + ... + 817571.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^214986720 is an apocalyptic number.

214986720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

214986720 is an abundant number, since it is smaller than the sum of its proper divisors (522675744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214986720 is a wasteful number, since it uses less digits than its factorization.

214986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 214986720 is about 14662.4254473808. The cubic root of 214986720 is about 599.0603068407.

The spelling of 214986720 in words is "two hundred fourteen million, nine hundred eighty-six thousand, seven hundred twenty".